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385560 = 23345717
BaseRepresentation
bin1011110001000011000
3201120220000
41132020120
544314220
612133000
73164040
oct1361030
9646800
10385560
1124374a
12167160
13106656
14a0720
1579390
hex5e218

385560 has 160 divisors (see below), whose sum is σ = 1568160. Its totient is φ = 82944.

The previous prime is 385559. The next prime is 385571. The reversal of 385560 is 65583.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385560.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22672 + ... + 22688.

It is an arithmetic number, because the mean of its divisors is an integer number (9801).

2385560 is an apocalyptic number.

385560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784080).

385560 is an abundant number, since it is smaller than the sum of its proper divisors (1182600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385560 is a wasteful number, since it uses less digits than its factorization.

385560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 385560 is about 620.9347791838. The cubic root of 385560 is about 72.7831180917.

The spelling of 385560 in words is "three hundred eighty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 27 28 30 34 35 36 40 42 45 51 54 56 60 63 68 70 72 81 84 85 90 102 105 108 119 120 126 135 136 140 153 162 168 170 180 189 204 210 216 238 252 255 270 280 306 315 324 340 357 360 378 405 408 420 459 476 504 510 540 567 595 612 630 648 680 714 756 765 810 840 918 945 952 1020 1071 1080 1134 1190 1224 1260 1377 1428 1512 1530 1620 1785 1836 1890 2040 2142 2268 2295 2380 2520 2754 2835 2856 3060 3213 3240 3570 3672 3780 4284 4536 4590 4760 5355 5508 5670 6120 6426 6885 7140 7560 8568 9180 9639 10710 11016 11340 12852 13770 14280 16065 18360 19278 21420 22680 25704 27540 32130 38556 42840 48195 55080 64260 77112 96390 128520 192780 385560